Quantization of Gamma-Lie bialgebras - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2007

Quantization of Gamma-Lie bialgebras

Résumé

We introduce the notion of Gamma-Lie bialgebra, where Gamma is a group. These objects give rise to cocommutative co-Poisson algebras, for which we construct quantization functors. This enlarges the class of co-Poisson algebras for which a quantization is known. Our result relies on our earlier work, where we showed that twists of Lie bialgebras can be quantized; we complement this work by studying the behavior of this quantization under compositions of twists.

Dates et versions

hal-00203466 , version 1 (10-01-2008)

Identifiants

Citer

Benjamin Enriquez, Gilles Halbout. Quantization of Gamma-Lie bialgebras. 2007. ⟨hal-00203466⟩
52 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More